3. Найдите корень уравнения: 4) 2$$\frac{2}{3}$$x-1$$\frac{5}{7}$$=-3$$\frac{1}{21}$$

4) Найдем корень уравнения 2$$\frac{2}{3}$$x-1$$\frac{5}{7}$$=-3$$\frac{1}{21}$$

2$$\frac{2}{3}$$x-1$$\frac{5}{7}$$=-3$$\frac{1}{21}$$

2$$\frac{2}{3}$$x = -3$$\frac{1}{21}$$+1$$\frac{5}{7}$$

Преобразуем смешанные дроби в неправильные:

2$$\frac{2}{3}$$ = $$\frac{2*3+2}{3}$$ = $$\frac{8}{3}$$

-3$$\frac{1}{21}$$ = -$$\frac{3*21+1}{21}$$ = -$$\frac{64}{21}$$

1$$\frac{5}{7}$$ = $$\frac{1*7+5}{7}$$ = $$\frac{12}{7}$$

$$\frac{8}{3}$$x = -$$\frac{64}{21}$$+$$\frac{12}{7}$$

$$\frac{8}{3}$$x = -$$\frac{64}{21}$$+$$\frac{36}{21}$$

$$\frac{8}{3}$$x = -$$\frac{28}{21}$$

$$\frac{8}{3}$$x = -$$\frac{4}{3}$$

x = -$$\frac{4}{3}$$ : $$\frac{8}{3}$$

x = -$$\frac{4}{3}$$ * $$\frac{3}{8}$$

x = -$$\frac{4*3}{3*8}$$

x = -$$\frac{1}{2}$$

Ответ: -$$\frac{1}{2}$$